MATHEMATICS MIDDLE SCHOOL

Sketch the quadratic function f(x) = x2 + 4x + 3. Which key feature of the graph is given incorrectly?A) minimum (-2, -1)
B) y-intercept (0, 2)
Eliminate
C) x-intercept (-3, 0)
D) x-intercept (-1, 0)

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

x-intercepts:

factor the function

f(x)=(x+3)(x+1)

zeros at x=-3,-1

x-intercepts --> (-3,0),(-1,0)

y-intercepts:

set x=0 in f(x)

f(0)=(0)^2+4(0)+3=3

y-intercept --> (0,3)

find minimums and maximums

The max or min of a quadratic function occurs at x=-b/(2a). If a is negative, the max value of the function is f(-b/(2a)). if a is positive, the minimum value of the function is f(-b/(2a)).

f(x)=ax^2+bx+c

f(x)=x^2+4x+3

here a is positive so you are looking for a minimum,

x=-b/(2a)

x=-4/(2*1)

x=-2 ----> plug into f(x), f(-2)=(-2)^2+4(-2)+3=-1

minimum (-2,-1)

Answer 2

Answer:

Answer:B

Step-by-step explanation:

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Figure B: a reflection across the y-axisFigure a 180° rotation around the origin

Answers

Since I can't see the figure on the coordinate plane, I can't give you exact coordinates for you to plot to get Figure B or Figure C. But I can tell you the transformation rules for reflection across the y-axis and the 180 rotation around the origin.

Rule for reflection across y-axis
(x, y) $\rightarrow$ (-x, y)
For example: Point B in a sample figure has the coordinate point of (1,2) would have a point of (-1, 2) when reflected across the y-axis.

Rule for rotating 180 degrees
(x, y) $\rightarrow$ (-x, -y)
For example: Point C in a sample figure has the coordinate point of (3, 4) would have a point of (-3, -4) when rotating 180 degrees around the origin.

Baxter wants to make 1 1/2 time the recipe. Will he need more or less sugar than Violet needs if she doubles the recipe?

Answers

Baxter will need less since Violet will double the recipe. Double means Violet wants to make 2 times the recipe. 1 1/2 is less than 2.

2. Refer to the figure below. The interior angles formed by the sides of a quadrilateralhave measures that sum to 360°, what is the value of x?________

Answers

Answer:

Your value of x will be 28°

Step-by-step explanation:

First, we'll need to find the length of the two obtuse angles. To do this, you add them together. 124 + 124 = 248°.

Since we know that the entire interior measure of the figure is 360°, you have to subtract 248 from 360 to find out the measure of the two unknown angles together.

The sum of the two unknown angles is 112°.

Now, you have to divide 112 by 4, since both of the angles multiply x by two.

112 divided by 4 is equal to 28.

This means the value of x is equal to 28°

I'll check this just to be sure. First I'll start with the top two angles:

2 x 28 = 56

56 + 56 = 112

Then I'll add it to the bottom two angles:

248 + 112 = 360°

I hope this answers your question!

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Answers

3 is common and therefore the factorization of the expression will be

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Answers

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